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Simplifying 5y + -2 = 2(6 + -1y) Reorder the terms: -2 + 5y = 2(6 + -1y) -2 + 5y = (6 * 2 + -1y * 2) -2 + 5y = (12 + -2y) Solving -2 + 5y = 12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -2 + 5y + 2y = 12 + -2y + 2y Combine like terms: 5y + 2y = 7y -2 + 7y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 -2 + 7y = 12 + 0 -2 + 7y = 12 Add '2' to each side of the equation. -2 + 2 + 7y = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = 12 + 2 7y = 12 + 2 Combine like terms: 12 + 2 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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